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Jee Main 2025 — Medium JEE math MCQ

The least value of \( n \) for which the number of integral terms in the Binomial expansion of \( (\sqrt{7} + \sqrt{11})^n \) is 183, is:
  1. A. \quad 2184 \\
  2. B. \quad 2196 \\
  3. C. \quad 2148 \\
  4. D. \quad 2172 \\

Solution

The correct option is **A**. (A. \quad 2184 \\)

MATH

medium • PYQ Reworded
Question
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The least value of n n for which the number of integral terms in the Binomial expansion of (7+11)n (\sqrt{7} + \sqrt{11})^n is 183, is:
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep